[2] He and his wife Sonia have two children together; a son Eiden and a daughter Lis, who was born while Abad was competing at the 2019 World Championships.

[6] Abad competed at the Cottbus World Cup in early 2015 where he won bronze on horizontal bar behind Ümit Şamiloğlu and Pablo Brägger.

Abad was selected to represent Spain at the 2016 Olympic Games alongside Ray Zapata, who had qualified at the previous year's World Championships.

[8] Abad competed at the DTB Pokal Team Challenge in early 2017 where he helped Spain finish fifth.

[14] The remainder of competitions during 2020 were either canceled or postponed, including the 2020 Olympic Games, due to the global COVID-19 pandemic.

In summer 2021 Abad was named to the team to represent Spain at the postponed 2020 Olympic Games alongside Thierno Diallo, Nicolau Mir, and Joel Plata.

At the 2022 World Championships he helped Spain finish sixth, which matched their previous highest placement record set in 2007.

Abad competed at the 2023 Tel Aviv World Challenge Cup where he won silver on rings and gold on horizontal bar.

In July Abad was selected to represent Spain at his third Olympic Games alongside Thierno Diallo, Nicolau Mir, Joel Plata, and Ray Zapata.